8153083601168 has 120 divisors (see below), whose sum is σ = 17966645373600. Its totient is φ = 3579087536640.

The previous prime is 8153083601093. The next prime is 8153083601171. The reversal of 8153083601168 is 8611063803518.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6858863 + ... + 7959281.

It is an arithmetic number, because the mean of its divisors is an integer number (149722044780).

Almost surely, 2^{8153083601168} is an apocalyptic number.

8153083601168 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8153083601168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8983322686800).

8153083601168 is an abundant number, since it is smaller than the sum of its proper divisors (9813561772432).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8153083601168 is a wasteful number, since it uses less digits than its factorization.

8153083601168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1100581 (or 1100564 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 50.

The spelling of 8153083601168 in words is "eight trillion, one hundred fifty-three billion, eighty-three million, six hundred one thousand, one hundred sixty-eight".